Chashokreddy18@gmail.com posted an Question
September 30, 2020 • 23:11 pm 30 points
  • CSIR NET
  • Mathematical Sciences

Linear algebra - can you please explain the following question? (p: 267)

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    Satpal singh best-answer

    The dimension of a subspace is the number of vectors in a basis. ... Since 0 is the only vector in V, the set S={0} is the only possible set for a basis. However, S is not a linearly independent set since, for example, we have a nontrivial linear combination 1⋅0=0. Therefore, the subspace V={0} does not have a basis.

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